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The double vector meson production in two photon collisions is addressedassuming that the color singlet $t$-channel exchange carries large momentumtransfer. We consider the non-forward solution of the BFKL equation at highenergy and large momentum transfer and estimate the total and differentialcross section for the process $\gamma \gamma \to V_1 V_2$, where $V_1$ and$V_2$ can be any two vector mesons ($V_i = \rho, \omega, \phi, J/\Psi,\Upsilon$). A comparison between our predictions and previous theoreticalresults obtained at Born level or assuming the Pomeron-exchange factorizationrelations is presented. Our results demonstrate that the BFKL dynamics impliesan enhancement of the cross sections. Predictions for the future linearcolliders (TESLA, CLIC and ILC) are given.Comment: 13 pages, 3 tables, 7 figures. Minor changes. Accepted for  publication in Eur. Phys. J.

Double vector meson production from the BFKL equation